Study on Application of Hybrid Functions to Fractional Differential Equations

被引：0
|
作者：
K. Nouri
D. Baleanu
L. Torkzadeh
机构：
[1] Semnan University,Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences
[2] Cankaya University,Department of Mathematics and Computer Sciences
来源：
Iranian Journal of Science and Technology, Transactions A: Science | 2018年 / 42卷
关键词：
Fractional differential equations; Chebyshev polynomials of the second kind; Block-pulse function; Operational matrix; Hybrid function; 34A08; 34G20; 26A33; 42C10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this study we propose an efficient technique for approximate solution of linear and nonlinear differential equations with fractional order. The operational matrices based upon block-pulse functions and Chebyshev polynomials of the second kind are used for this purpose. Also, we focus on the upper bound of error for performance of the our estimates. The numerical results confirm the convergence of the suggested method. Correspondingly, the obtained results of our method are compared with other approaches in terms of efficiency and accuracy.
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收藏
页码：1343 / 1350
页数：7
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